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Finding the Fourth Proportional to 692.42, 1,037.19 and 537.80

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Solution

The fourth proportional to 692.42, 1,037.19 and 537.80 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.42 : 1,037.19 = 537.80 : x
  2. Step 2: Convert to fraction form
    692.42/1,037.19 = 537.80/x
  3. Step 3: Cross multiply
    692.42x = 1,037.19 × 537.80
  4. Step 4: Simplify right side
    692.42x = 557,800.78
  5. Step 5: Solve for x
    x = 557,800.78/692.42
  6. Step 6: Final answer
    x = 805.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.